> They would be "fake" if they claim to be made by OpenAI, which they don't.
Very many did that or implied an association with OpenAI, which is why OpenAI had to release updated branding guidelines (https://openai.com/brand) and started enforcing takedowns against apps/domains using GPT in their name.
This is pretty typical for the App Store / Play Store and isn’t anything particular to OpenAI. If there is a third-party service Foo that app Bar uses, then “Foo Bar” is questionable for trademark reasons and the common practice is to use “Bar for Foo” instead.